Properties of cuspidal divisor class numbers of non-split Cartan modular curves

Pierfrancesco Carlucci

Properties of cuspidal divisor class numbers of non-split Cartan modular curves

Number Theory 2016-05-31 v1

Authors: Pierfrancesco Carlucci

Abstract

Let $\mathfrak{C}^+_{ns}(p)$ be the Cuspidal Divisor Class Group of the modular curves $X^+_{ns}(p)$ associated to the normalizer of a non-split Cartan subgroup of level $p$ . I study the $p-$ primary part of $\mathfrak{C}^+_{ns}(p)$ and estimate the order of growth of $|\mathfrak{C}^+_{ns}(p)|$ .

Keywords

modular curves non-split Cartan subgroup cuspidal divisor class group p-primary part order of growth class numbers

Cite

@article{arxiv.1605.09323,
  title  = {Properties of cuspidal divisor class numbers of non-split Cartan modular curves},
  author = {Pierfrancesco Carlucci},
  journal= {arXiv preprint arXiv:1605.09323},
  year   = {2016}
}

Comments

11 pages

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